Une introduction au critère BIC : fondements théoriques et interprétation
Journal de la société française de statistique, Tome 147 (2006) no. 1, pp. 39-57.

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Lebarbier, Émilie; Mary-Huard, Tristan. Une introduction au critère BIC : fondements théoriques et interprétation. Journal de la société française de statistique, Tome 147 (2006) no. 1, pp. 39-57. http://geodesic.mathdoc.fr/item/JSFS_2006__147_1_39_0/

Akaike H.(1973). Information theory as an extension of the maximum likelihood principle. In B.N. Petrov et F. Csaki(Eds.), Second International Symposium on Information Theory, pp. 267-281. Akademiai Kiado, Budapest. | Zbl | MR

Azaïs J.-M., E. Gassiat, et C. Mercadier(2003). Asymptotic distribution and power of the likelihood ratio test for mixtures : bounded and unbounded case. Technical report, Preprint, Orsay. | MR | Zbl

Biernacki C., G. Celeux, et G. Govaert(2000). Assessing a mixture model for clustering with the integrated completed likelihood. IEEE Transactions on pattern analysis and machine intelligence 22(7), 719-725.

Birgé L. et P. Massart(2001). Gaussian model selection. J. Eur. Math. Soc. 3, 203-268. | Zbl | MR | EuDML

Bozdogan H.(1987). Model selection and Akaike's information criterion(AIC) : the general theory and its analytical extensions. Psychometrika 52, 345-370. | Zbl | MR

Burnham K.P. et D. Anderson(2002). Model selection and multi-model inference. Springer-Verlag New York. | Zbl | MR

Castellan G.(1999). Modified Akaike's criterion for histogram density estimation. Technical Report 61, Universite Paris XI.

Celeux G. et G. Soromenho(1996). An entropy criterion for assessing the number of clusters in a mixture model. Classification Journal 13, 195-212. | Zbl | MR

Chernoff H. et E. Lander(1995). Asymptotic distribution of the likelihood ratio test that a mixture of two binomials is a single binomial. Journal of Statistical Planning and Inference 43(1), 19-40. | Zbl | MR

Csiszar I. et P.C. Shields(2000). The consistency of the bic markov order estimator. Ann. Statist. 28(6), 1601-1619. | Zbl | MR

Dacunha-Castelle D. et E. Gassiat(1997). The estimation of the order of a mixture model. Bernoulli Journal of Mathematical Statistics and Probability 3(3), 279-299. | Zbl | MR

Dudley R.M. et D. Haughton(1997). Information criteria for multiple data sets and restricted parameters. Statistica Sinica, 265-284. | Zbl | MR

Dudley R.M. et D. Haughton(2002). Asymptotic normality with small relative errors of posterior probabilities of half-spaces. Ann. Statist. 30(5), 1311-1344. | Zbl | MR

Fraley C. et A. E. Raftery(1998). How many clusters? which clustering method? answer via model-based cluster analysis. The Computer Journal 4 1, 578-588. | Zbl

Hannan E.J.(1980). The estimation of the order of an arma process. Ann. Statist. 8, 1071-1081. | Zbl | MR

Hartigan(1985). A failure of likelihood ratio asymptotics for normal mixtures. In Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer.

Haughton D.M.A.(1988). On the choice of a model to fit data from an exponentiel family. Ann. Statist. 16(1), 342-355. | Zbl | MR

Hoeting J.A., D. Madigan, A.E. Raftery, et C.T. Volinsky(1999). Bayesian model averaging : A tutorial. Statist. Science 14(4), 382-417. | Zbl | MR

Hurvich C.M. et C.L. Tsai(1989). Regression and time series model selection in small samples. Biometrika 76, 297-307. | Zbl | MR

Kass R.E. et L.A. Wasserman(1996). The selection of prior distributions by formal rules. J. Amer. Statist. Assoc. 90, 1343-1370. | Zbl

Kass R. E. et A. E. Raftery(1995). Bayes factors. J. Amer. Statist. Assoc. 90, 773-795. | Zbl

Kass R. E. et L. Wasserman(1995). A reference bayesian test for nested hypotheses and its relationship to the schwarz criterion. J. Amer. Statist. Assoc. 90(2), 928-934. | Zbl | MR

Keribin C.(1998). Consistent estimate of the order of mixture models. Comptes Rendus de 1 Académie des Sciences 326, 243-248. | Zbl | MR

Lebarbier E.(2005). Detecting multiple change-points in the mean of gaussian process by model selection. Signal processing 85, 717-736. | Zbl

Madigan D. et A.E. Raftery(1994). Model selection and accounting for model uncertainty in graphical models using Occam's window. J. Amer. Statist. Assoc. 89, 1535-1546. | Zbl

Mallows C.L.(1974). Some comments on Cp. Technometrics 15, 661-675. | Zbl

Mclachlan G. et D. Peel(2000). Finite Mixture Models. Wiley Series in Probability and Statistics. | Zbl | MR

Poskitt D. S.(1987). Precision, complexity and bayesian model determination. J. R. Statist. Soc. B 49(2), 199-208. | Zbl | MR

Raftery A. E.(1995). Bayesian model selection in social research(with discussion). Sociological Methodology, 111-196.

Reschenhoffer E.(1996). Prediction with vague prior knowledge. Comm. Statist. 25, 601-608. | Zbl | MR

Ripley B.D.(1995). Pattern Recognition and Neural Networks. Cambridge University Press. | Zbl | MR

Rissanen J.(1978). Modelling by the shortest data description. Automatica 14, 465-471. | Zbl

Rissanen J.(1987). Stochastic complexity. J. R. Statist. Soc. B 49, 223-239. | Zbl | MR

Ronchetti(1985). Robust model selection in regression. Statis. Probab. Lett. 3, 21-23. | MR

Schwarz G.(1978). Estimating the dimension of a model. Ann. Statist. 6, 461-464. | Zbl | MR

Shi P. et C.L. Tsai(1998). A note on the unification of the Akaike information criterion. J. R. Statist. Soc. B 60, 551-558. | Zbl | MR

Sugiura(1978). Further analysis of the data by akaike's information criterion and the finite corrections. Comm. Statist. A7, 13-26. | Zbl

Tierney L. et J.B. Kadane(1986). Accurate approximations for posterior moments and marginal densities. J. Amer. Statist. Assoc. 81, 33-59. | Zbl | MR

Van Der Vaart A.W.(1998). Asymptotic Statistics. Cambridge Series in Statistical and Probabilistic Mathematics. | Zbl